6.6. In the power system network shown in Figure 51, bus 1 is a slack bus with V₁ = 1.0/0° per unit and bus 2 is a load bus with S₂ = 280 MW + j60 Mvar. The line impedance on a base of 100 MVA is Z = 0.02 + j0.04 per unit. -(0) (a) Using Gauss-Seidel method, determine V₂. Use an initial estimate of V 1.0+ j0.0 and perform four iterations. (b) If after several iterations voltage at bus 2 converges to V₂ = 0.90 - j0.10, determine S₁ and the real and reactive power loss in the line. Z12 = 0.02 + j0.04 1 S₂ = 280 MW+j60 Mvar FIGURE 51 One-line diagram for Problem 6.6. 2

Introductory Circuit Analysis (13th Edition)
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H4.
Question 1
6.6. In the power system network shown in Figure 51, bus 1 is a slack bus with
V₁ = 1.020° per unit and bus 2 is a load bus with S₂ = 280 MW+j60 Mvar. The
line impedance on a base of 100 MVA is Z = 0.02 +0.04 per unit.
=
(a) Using Gauss-Seidel method, determine V₂. Use an initial estimate of V
1.0 + 30.0 and perform four iterations.
(b) If after several iterations voltage at bus 2 converges to V₂ = 0.90- j0.10,
determine S₁ and the real and reactive power loss in the line.
Z12 = 0.02 +0.04
1
S₂ =280 MW +j60 Mvar
FIGURE 51
One-line diagram for Problem 6.6.
2
Transcribed Image Text:Question 1 6.6. In the power system network shown in Figure 51, bus 1 is a slack bus with V₁ = 1.020° per unit and bus 2 is a load bus with S₂ = 280 MW+j60 Mvar. The line impedance on a base of 100 MVA is Z = 0.02 +0.04 per unit. = (a) Using Gauss-Seidel method, determine V₂. Use an initial estimate of V 1.0 + 30.0 and perform four iterations. (b) If after several iterations voltage at bus 2 converges to V₂ = 0.90- j0.10, determine S₁ and the real and reactive power loss in the line. Z12 = 0.02 +0.04 1 S₂ =280 MW +j60 Mvar FIGURE 51 One-line diagram for Problem 6.6. 2
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